Maximum Torque Calculation for a Given Force and Angle

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SUMMARY

The discussion focuses on calculating maximum torque given a force of 50 N applied at an angle of 110 degrees and a distance of 1.5 m. The initial calculation yielded a torque of 70 J, but it was clarified that torque is measured in Newton-meters (Nm), not joules. The maximum torque occurs when the angle is 90 degrees, resulting in a torque of 75 Nm. The conversation emphasizes the importance of using the correct units and understanding the sine function's role in torque calculations.

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  • Understanding of torque and its calculation
  • Familiarity with trigonometric functions, specifically sine
  • Knowledge of units of measurement in physics, particularly Newton-meters
  • Basic principles of rotational mechanics
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  • Learn about the sine function and its maximum value
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  • Review unit conversions between joules and Newton-meters
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Homework Statement


2. Homework Equations [/B]
I was given this info
r=1.5 m
d=3 m
F= 50
angle= 110 degrees

The Attempt at a Solution


T=Fsin
T= (1.5)(50)sin(110)
T=70 N

I attempted the solution^ to get (maximum) torque.
 
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i am unsure if my answer is correct or not*
 
You need to specify units for all the given quantities.

The units of torque are not Newtons. What are they?
 

Homework Statement


2. Homework Equations [/B]
I was given this info
r=1.5 m
d=3 m
F= 50 N
angle= 110 degrees

The Attempt at a Solution


T=Fsin
T= (1.5)(50)sin(110)
T=70 J (joules)

I attempted the solution^ to get (maximum) torque.
 
Although mathematically torque and work have the same units, the convention is to use units of F*L when talking about torque, and joules when talking about work.
 
thank you for notifying me about the units being used in this problem, so how would i go about getting MAXIMUM TORQUE?
 
amy098yay said:
thank you for notifying me about the units being used in this problem, so how would i go about getting MAXIMUM TORQUE?
Change the angle of application of the force.
 
would it be 180-110=10 degrees
so
T=Fsin
T= (1.5)(50)sin(10)
T=13.0 J (joules) ?
 
amy098yay said:
would it be 180-110=10 degrees
Are you sure about this calculation?

so
T=Fsin
T= (1.5)(50)sin(10)
T=13.0 J (joules) ?

Think about it like this For what angle is the sine a maximum?
 
  • #10
90?

T=Fsin
T= (1.5)(50)sin(90)
T=75 (joules)
 
  • #12
CWaters is correct, this thread duplicates a question in another thread. This thread is closed.
 

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